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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Nonlinear Systems and the Conic Sections
The Circle
Warm-Ups
1
The radius of a circle can be any nonzero real number.
A)
TRUE
B)
FALSE
2
The coordinates of the center must satisfy the equation of the circle.
A)
TRUE
B)
FALSE
3
The circle x
2
+ y
2
= 4 has its center at the origin.
A)
TRUE
B)
FALSE
4
The graph of x
2
+ y
2
= 9 is a circle centered at (0, 0) with radius 9.
A)
TRUE
B)
FALSE
5
The graph of (x - 2)
2
+ (y - 3)
2
+ 4 = 0 is a circle of radius 2.
A)
TRUE
B)
FALSE
6
The graph of (x - 3) + (y + 5) = 9 is a circle of radius 3.
A)
TRUE
B)
FALSE
7
There is only one circle centered at (-3, -1) passing through the origin.
A)
TRUE
B)
FALSE
8
The center of the circle (x - 3)
2
+ (y - 4)
2
= 10 is (-3, -4).
A)
TRUE
B)
FALSE
9
The center of the circle x
2
+ y
2
+ 6y - 4 = 0 is on the y-axis.
A)
TRUE
B)
FALSE
10
The radius of the circle x
2
- 3x + y
2
= 4 is 2.
A)
TRUE
B)
FALSE
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